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- W2295463663 abstract "Surface parameterization is widely used in computer graphics and geometry processing. It simplifies challenging tasks such as surface registrations, morphing, remeshing and texture mapping. In this paper, we present a novel linear algorithm for computing the disk conformal parameterization of simply-connected open surfaces. A double covering technique is used to turn a simply-connected open surface into a genus-0 closed surface, and then a linear algorithm for parameterization of genus-0 closed surfaces can be applied. The symmetry of the double covered surface preserves the efficiency of the computation. A planar parameterization can then be obtained with the aid of a Mobius transformation and the stereographic projection. After that, a normalization step is applied to guarantee the circular boundary. Finally, we achieve a bijective disk conformal parameterization by a composition of quasi-conformal mappings. Experimental results demonstrate a significant improvement in the computational time by over 60%. At the same time, our proposed method retains comparable accuracy, bijectivity and robustness when compared with the state-of-the-art approaches. Applications for texture mapping are considered for illustrating the effectiveness of our proposed algorithm." @default.
- W2295463663 created "2016-06-24" @default.
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- W2295463663 date "2015-08-03" @default.
- W2295463663 modified "2023-09-27" @default.
- W2295463663 title "A Linear Algorithm for Disk Conformal Parameterization of Simply-Connected Open Surfaces" @default.
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- W2295463663 hasPublicationYear "2015" @default.
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